Answer:
Period = pi
Angular frequency = 2
Amplitude = 5
Midline is the line y = 3
Step-by-step explanation:
A sinusoidal wave is written in the general form as:
f(x) = A*cos(w*x) + C
Where:
- A is the amplitude.
- w is the angular frequency, this is equal to 2*pi/T
where T is the period.
- y = C is the midline.
Then in the equation:
f(x) = 5*cos(2*x) + 3
- 5 is the amplitude.
- 2 is the angular frequency (in the image is called frequency, but this quantity must be in radians/time, while the normal frequency is only in Hz)
- We know that the angular frequency is equal to 2*pi/T, whit this eqation we can find the period:
2 = 2*pi/T
T = 2*pi/2 = pi
pi is the period.
- y = 3 is the midline.
Answer:
8(x/2) + 8(3/8) = 1(8)
8(x/2)..the two cancels out and you are left with 4x
8(3/8)..the 8 cancels and leaves with 3
1(8)=8
4x+3=8
Subtract the 3 from both sides to get the x term alone
4x=5
Divide both sides by x to get alone
x=5/4
Step-by-step explanation:
Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal
Step 3. Simplify the fraction (if needed)
Example:
1/2 ÷ 1/6
Step 1. Turn the second fraction upside down (it becomes a reciprocal):
1/6 becomes 6/1
Step 2. Multiply the first fraction by that reciprocal:
(multiply tops ...)
1/2 × 6/1 = 1 × 6/2 × 1 = 6/2
(... multiply bottoms)
Step 3. Simplify the fraction:
6/2 = 3
This is how you divide fractions. Now try it your self!
